Nous considérons des feuilletages transversalement affines sans feuille compacte sur des fibrés en surfaces de genre plus grand que 1 au-dessus du cercle de type pseudo-Anosov tels que les classes d’Euler des fibrés tangents des feuilletages coïncident avec celle du feuilletage par fibres. Nous classifions de tels feuilletages sur les fibrés sont les monodromies satisfont une certaine condition.
We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.
@article{AIF_1991__41_3_755_0,
author = {Nakayama, Hiromichi},
title = {Transversely affine foliations of some surface bundles over $S^1$ of {pseudo-Anosov} type},
journal = {Annales de l'Institut Fourier},
pages = {755--778},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {41},
number = {3},
year = {1991},
doi = {10.5802/aif.1272},
mrnumber = {92k:57055},
zbl = {0731.58053},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.1272/}
}
TY - JOUR AU - Nakayama, Hiromichi TI - Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type JO - Annales de l'Institut Fourier PY - 1991 SP - 755 EP - 778 VL - 41 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1272/ DO - 10.5802/aif.1272 LA - en ID - AIF_1991__41_3_755_0 ER -
%0 Journal Article %A Nakayama, Hiromichi %T Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type %J Annales de l'Institut Fourier %D 1991 %P 755-778 %V 41 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1272/ %R 10.5802/aif.1272 %G en %F AIF_1991__41_3_755_0
Nakayama, Hiromichi. Transversely affine foliations of some surface bundles over $S^1$ of pseudo-Anosov type. Annales de l'Institut Fourier, Tome 41 (1991) no. 3, pp. 755-778. doi : 10.5802/aif.1272. http://www.numdam.org/articles/10.5802/aif.1272/
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